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Lesson Example Discussion Quiz: Class Homework

Step-2

Title: Compare fraction numbers

Grade: 4-a Lesson: S1-L3

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Identify the small fraction number given below \$ 23/19 , 17/21, 31/15 \$
2	Step	The given fraction numbers are	\$ 23/19 , 17/21, 31/15 \$
3	Step	First, we can convert fractions to have a common denominator.
4	Step	The least common multiple of 19,21 and 15 is	3995
5	Step	For \$ 23/19 \$ multiply both the numerator and denominator by 210	\$ (23 * 210) / (19 * 210) = 4830 / 3995 \$
6	Step	For \$ 17/21 \$ multiply both the numerator and denominator by 190	\$ (17 * 190) / (21 * 190) = 3230 / 3995 \$
7	Step	For \$ 31/15 \$ multiply both the numerator and denominator by 267	\$ (31 * 267) / (15 * 267) = 8277 / 3995 \$
8	Step	The fractions have the same denominator, so you can simply compare the numerators. The fraction with the larger numerator is the smaller fraction.
9	Step	Among the fractions \$4830/3995, 3230/3995\$, and \$8277/3995\$, \$3230/3995\$ has the smallest numerator, making it the smallest fraction.
10	Step	You can also convert them to decimals \$ 4830 / 3995 \$ is approximately.	1.2090112
11	Step	And also \$3230 / 3995 \$ is approximately	0.80851063
12	Step	And also \$ 8277 / 3995 \$ is approximately	2.07183979
13	Step	So, the smallest fraction among \$ 23/19 , 17/21\$, and \$31/15\$ is	\$ 3230 / 3995 \$
14	Step	Therefore, the smallest fraction number is	\$ 17/21 \$
15	Sumup	Can you summarize what you’ve understood in the above steps?
16	Choice.A	This is not the smallest fraction; it has a value of approximately 1.21	\$23/19\$
17	Choice.B	This is not the smallest fraction; it has a value of approximately 2.07	\$31/15\$
18	Choice.C	This is the smallest fraction; it has a value of approximately 0.80	\$17/21\$
19	Choice.D	This is incorrect because the smallest fraction is \$17/21\$	All the above
20	Answer	Option	C
21	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Identify the small fraction number given below
\$ 23/19 , 17/21, 31/15 \$

Step

The given fraction numbers are

\$ 23/19 , 17/21, 31/15 \$

Step

First, we can convert fractions to have a common denominator.

Step

The least common multiple of 19,21 and 15 is

3995

Step

For \$ 23/19 \$ multiply both the numerator and denominator by 210

\$ (23 * 210) / (19 * 210) = 4830 / 3995 \$

Step

For \$ 17/21 \$ multiply both the numerator and denominator by 190

\$ (17 * 190) / (21 * 190) = 3230 / 3995 \$

Step

For \$ 31/15 \$ multiply both the numerator and denominator by 267

\$ (31 * 267) / (15 * 267) = 8277 / 3995 \$

Step

The fractions have the same denominator, so you can simply compare the numerators. The fraction with the larger numerator is the smaller fraction.

Step

Among the fractions \$4830/3995, 3230/3995\$, and \$8277/3995\$, \$3230/3995\$ has the smallest numerator, making it the smallest fraction.

Step

You can also convert them to decimals \$ 4830 / 3995 \$ is approximately.

1.2090112

Step

And also \$3230 / 3995 \$ is approximately

0.80851063

Step

And also \$ 8277 / 3995 \$ is approximately

2.07183979

Step

So, the smallest fraction among \$ 23/19 , 17/21\$, and \$31/15\$ is

\$ 3230 / 3995 \$

Step

Therefore, the smallest fraction number is

\$ 17/21 \$

Sumup

Can you summarize what you’ve understood in the above steps?

Choice.A

This is not the smallest fraction; it has a value of approximately 1.21

\$23/19\$

Choice.B

This is not the smallest fraction; it has a value of approximately 2.07

\$31/15\$

Choice.C

This is the smallest fraction; it has a value of approximately 0.80

\$17/21\$

Choice.D

This is incorrect because the smallest fraction is \$17/21\$

All the above

Answer

Option

Sumup

Can you summarize what you’ve understood in the above steps?